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generators and relations

Generators and relations for the semigroups of increasing functions on \(\mathbb{N}\) and \(\mathbb{Z}\)

Generators and relations for the semigroups of increasing functions on \(\mathbb{N}\) and \(\mathbb{Z}\)

... Abstract. The semigroups of all increasing functions over N and Z are considered. It is shown that both these semigroups do not admit an irreducible system of generators. In their subsemi- groups of cofinite ...

15

Groups of order 2048 with three generators and three relations

Groups of order 2048 with three generators and three relations

... A finite group is said to have deficiency zero if it has a deficiency zero presentation, namely a presentation with an equal number of generators and relations. A classical fact is that finite groups of ...

9

The Power of Group Generators and Relations: An Examination of the Concept and Its Applications

The Power of Group Generators and Relations: An Examination of the Concept and Its Applications

... as generators defined in terms of mirror reflections, it offers vivid constructive examples while linking the ideas to higher-level areas—All three applications discussed in this paper can be examined in greater ...

20

Free ultra-groups, generators and relations

Free ultra-groups, generators and relations

... A b s t r ac t . In this paper, we intend to define an ultra-group by its presentation. The attitude of the presentation for a group was the key for us to investigate in this area. Instead of writing whole elements of an ...

9

On generators, relations and D simplicity of direct products, Byleen extensions, and other semigroup constructions

On generators, relations and D simplicity of direct products, Byleen extensions, and other semigroup constructions

... While it may seem that the study of relative rank sequences and relative presentability in Chapter 4 is disjoint from the embedding problem which motivates Chapters 2 and 3, they can be thought of as complementary top- ...

155

Generators and relations for subsemigroups via boundaries in Cayley graphs

Generators and relations for subsemigroups via boundaries in Cayley graphs

... In §3 we saw that subsemigroups of finitely presented semigroups with only the right or left boundary finite need not be finitely generated, never mind finitely presented.. This still le[r] ...

36

A basis for the Birman-Wenzl algebra

A basis for the Birman-Wenzl algebra

... where k is the field of fractions of Λ. This enables them to imitate V. Jones’ basic construction and thus determine the structure of the algebra. At a crucial point in proof of their main result (theorem 3.7) they need ...

33

The Diagrammatic Soergel Category and sl(N) Foams, for N≥4

The Diagrammatic Soergel Category and sl(N) Foams, for N≥4

... In 1 Soergel categorified the Hecke algebra using bimodules. Just as the Hecke algebra is important for the construction of the HOMFLY-PT link polynomial, so is Soergel’s category for the construction of Khovanov and ...

20

Cohen-Macaulay modules over the plane curve singularity of type \(T_{44}\), II

Cohen-Macaulay modules over the plane curve singularity of type \(T_{44}\), II

... of generators and relations (or matrix factorizations) analogously to the procedure described in ...construct generators and relations and present ...

19

HYPERBOLIC SPACE GROUPS FOUR SERIES WITH SIMPLICIAL DOMAINS

HYPERBOLIC SPACE GROUPS FOUR SERIES WITH SIMPLICIAL DOMAINS

... and relations for a space group G with a given polyhedron P (a simplex or a trunc simplex in the considered cases) as a fundamental domain can be obtained by the Poincare ...

10

The Critical Group of the Corona of Trees and Cycles

The Critical Group of the Corona of Trees and Cycles

... A Relations Matrix for Generators of K K 2 Cn In order to obtain the critical group of graph TmCn , it is sufficient to compute the Smith normal form of the reduced Laplacian matrix [r] ...

7

Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules

Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules

... and φ. It is straightforward to check that they satisfy the relations (15)–(19). It remains to show that these relations are defining relations. By (15)–(19), the set B in statement 2 is a set of ...

35

Generating Set of the Complete Semigroups of Binary Relations

Generating Set of the Complete Semigroups of Binary Relations

... Abstract Difficulties encountered in studying generators of semigroup BX D of binary relations defined by a complete X-semilattice of unions D arise because of the fact that they are n[r] ...

10

A Note on the Representation of Clifford Algebra

A Note on the Representation of Clifford Algebra

... In this note we construct explicit complex and real matrix representations for the generators of Clifford algebra. The problem is aroused from the discussion on the specificity of the 1 + 3 dimensional Minkowski ...

11

Vol 9, No 4 (2018)

Vol 9, No 4 (2018)

... of generators and factorizations of transformation semigroup has been given Howie and Nikola Ruskuc in ...Green's relations play an important role in the theory of ...

6

Minimizing the presentation of a kont group

Minimizing the presentation of a kont group

... The trefoil knot has a presentation with two generators and one relation and there is no presentation with fewer generators or relations for the trefoil... that the trefoil is the only a[r] ...

8

Effect of Winglet Vortex Generators Orientation on Heat Transfer Enhancement

Effect of Winglet Vortex Generators Orientation on Heat Transfer Enhancement

... Reynolds number because of the increasing the velocity which increases the heat transfer coefficient. It can be seen that, the rectangular vortex generators (R.V.G) provides a higher average Nusselt number than ...

17

Design and Analysis of Vortex Generator

Design and Analysis of Vortex Generator

... Vehicle power consumption reduction can be achieved by various means such as improved engine efficiency and aerodynamic drag reduction. From the early days, the designers recognized the importance of drag reduction and ...

11

Improving the Overall Efficiency of Radioisotope Thermoelectric Generators

Improving the Overall Efficiency of Radioisotope Thermoelectric Generators

... power generators have been employed for space exploration missions; for instance since 1961 more than 27 missions have been powered using over 45 radioisotope thermoelectric generators ...

6

Vol 59, No 2 (2016)

Vol 59, No 2 (2016)

... the relations 3,2 for calculation of amplitude and force disruptive, we get the elastic elements which are assumed the status between the vibrant mass "MEVI", respectively vibrating table and are placed, ...

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